Little finger yeah.. the tension in Winterfell is building around it it seems, probably Arya will do it with the dagger. But why? What could he do to piss her off? I mean Bran knows but he's not Bran anymore right, what does he care. He's supposedly only focused on the night king.
But Varys, why him? And by who? Nobody loves him, except for Tryion maybe, but he's so damn useful, to whoever he serves. Who do you think could kill him?

BTW, please do more posts on this topic :)